Leibniz Legible

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 90

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.

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The machine reads it as

  1. quadrarum recra X he duplum superticici trunci erie X r4
  2. dius circulixequalis superticiei sphaeroidis genica arocario
  3. ne curue FFT circa axem F.F, quod demonstrare oportuie.
  4. Hinc eciam parer quod superticies spharoidis sic magni
  5. cudine e graricare analoga cum lesmento elliprico. L D F
  6. RT, idem enim quod demonstratur de inceoris, non dissimile
  7. methodo demonstratur de parribus carum proporcionalibus
  8. v. 8. Codem modo demonstratur superticies genita ex rota-
  9. tione curua P N aequalis circulo cuius radiiquadracum du
  10. plum est CcemenciellipriciFRPO, quo demonstrata est prx
  11. lens propolicio; quod eriam in cribus lequentibus est intel
  12. ligendum, cum eadem sic rario huIuS de ilLaRUI,ME CNIM
  13. eader eadem lemperreperere.
  14. DROP. 48. PROBLEMA.
  15. invenire circulum aequalem superficiei spharoidis lata.
  16. Ic sphaerois laca genita ex rocatione Pemiellip(eosMC
  17. Rcircaaxem breviorem MR, cuius Cuperticiei oxortee
  18. invenire aequalem circulum. In verricibus M, R, ciliplem
  19. tansane rectae MA, RD, aequales lemissilaceris recti. Dein-
  20. de cenero P, verrice C, per puncta A, D, ducarur hyperbola
  21. ACD, _ Legmenco hyperbolico ACDRMhac aequale qua
  22. dracum cuius diameter recta X. dico X esse radium circuli
  23. aequalis superticiei sphaeroidis laex propolire. Sic hyperbola
  24. alymproca PF rectam DR sccanS in L, licque hyperbolam
  25. tangens in verrice recta BC. C, d IUINBAnEuF TCCtX PD, PC.
  26. ex quolibec ellipseos puncto I in axem MR Sic perpendicula
  27. ris IO rectASCC, PD, PF, PC incerlecans in punctis II h
  28. O Licem hyperbolam incerlecans in E. Sic recta CN ae qua
  29. lisrectae OKi manifectum eA (ex commenearius Franci(c. a
  30. Scorrenin Carrelium Pa8. 214) rectam HI elliplemtansen
  31. rem in puncto lnormalirer secore. quoniam PF est hyperbo
  32. IX

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 90. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0106?run=74